Rates and Unit Rates: Practice

Speed in miles per hour is miles for a single hour, so divide the miles by the hours.

$45 \div 2 = 22.5$

The cyclist averages $22.5$ miles per hour.

Price per pound is dollars for a single pound, so divide the dollars by the pounds.

$4 \div 5 = 0.80$

The flour costs $0.80$ dollars per pound.

Find the price per ounce for each brand by dividing dollars by ounces.

$\text{A: } 3 \div 6 = 0.50 \qquad \text{B: } 4 \div 10 = 0.40$

Brand B is cheaper at $0.40$ dollars per ounce, so it is the better buy.

Price per pound is dollars for a single pound, so divide the dollars by the pounds.

$11 \div 3 \approx 3.67$

The nuts cost about $3.67$ dollars per pound.

Find the price per pen for each store by dividing dollars by pens.

$\text{X: } 5 \div 4 = 1.25 \qquad \text{Y: } 9 \div 6 = 1.50$

Store X is cheaper at $1.25$ dollars per pen.

Multiply the unit rate by the number of minutes to scale it up.

$4 \times 15 = 60$

The hose fills $60$ gallons.

Speed in miles per hour is miles for a single hour, so divide the miles by the hours.

$99 \div 2 = 49.5$

The car's speed is $49.5$ miles per hour.

"Chairs per hour" means chairs for a single hour, so divide the chairs by the hours.

$6 \div 4 = 1.5$

The factory produces $1.5$ chairs per hour.

Price per liter is dollars for a single liter, so divide the dollars by the liters.

$7 \div 4 = 1.75$

The juice costs $1.75$ dollars per liter.

Find each speed by dividing miles by hours.

$\text{P: } 60 \div 2 = 30 \qquad \text{Q: } 120 \div 3 = 40$

Trip Q is $40$ miles per hour, faster than trip P at $30$, so trip Q has the faster speed.

"Centimeters per minute" means centimeters for a single minute, so divide the centimeters by the minutes.

$13 \div 2 = 6.5$

The snail crawls $6.5$ centimeters per minute.

Find the price per apple for each deal by dividing dollars by apples.

$\text{A: } 6 \div 9 \approx 0.67 \qquad \text{B: } 3 \div 4 = 0.75$

Deal A is lower at about $0.67$ dollars per apple.